Q. −1.75−2022=Enter the answer as an exact decimal or simplified fraction.
Convert to Improper Fraction: Convert the mixed number to an improper fraction.−1.75 can be written as −110075, which simplifies to −143 because 10075 reduces to 43.Now, convert −143 to an improper fraction by multiplying the whole number part by the denominator of the fraction part and then adding the numerator of the fraction part.−1×4=−4−4+3=−7So, −143 as an improper fraction is −47.
Simplify Second Term: Simplify the second term.The fraction 2022 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2.22÷2=1120÷2=10So, 2022 simplifies to 1011.
Perform Subtraction: Perform the subtraction.Now we have −47−1011. To subtract these fractions, we need a common denominator. The least common multiple of 4 and 10 is 20.We convert −47 to a fraction with a denominator of 20 by multiplying both the numerator and the denominator by 5.−7×5=−354×5=20So, −47 is equivalent to 40.We convert 41 to a fraction with a denominator of 20 by multiplying both the numerator and the denominator by 43.4445So, 41 is equivalent to 47.Now we can subtract: 48.
Complete Subtraction: Complete the subtraction.−2035−2022=20(−35−22)=−2057This is the final answer as a simplified fraction.
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